Math Questions

Use synthetic division to divide f(x) = x² +8x²-3x-90 by x + 5. Use the result to find all zeros of f. (x² +8x²-3x-90) + (x+5)= x² + 3x - 18 (Do not factor. If there is a remainder, type your answer in the form quotient + The zeros off are (Use a comma to separate answers as needed.)

Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n.vTwo-tailed test, a= 0.01, n = 13 Click the icon to view the t-distribution table. The critical value(s) is/are (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to the nearest thousandth as needed.) A. t< and t> B. C. t< D. t>

How's the economy? A pollster wants to construct a 99% confidence interval for the proportion of adults who believe that economic conditions are getting better. Part: 0 / 2 Part 1 of 2 (a) A poll taken in July 2010 estimates this proportion to be 0.3. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.01? A sample of adults is needed to obtain a 99% confidence interval with a margin of error of 0.01.

Use the table of English and Metric Equivalents for Capacity, along with dimensional analysis, to convert the given unit to the unit indicated 21 mL to tsp Click to check the table of English and Metric Equivalents for Capacity. 21 mL tsp (Round to two decimal places as needed.)

From 15°C, 35°C, 45°C, and 60°C, select the best estimate of the Celsius temperature of a warm winter day in Michigan. The average temperature in Michigan during the winter is about 30°F. Choose the temperature that best represents a warm winter day in Michigan. 35°C 45°C 15°C 60°C

Round the following number to the nearest thousand. How to enter your answer (opens in new window) 187,434

Construct the indicated confidence interval for the difference between population proportions P1.P2. Assume that the samples are independent and that they have been randomly selected. In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p1 - P2. 0.048 P1-P2 < 0.112 0.035 P1-P2 < 0.125 0.025 P1-P2 < 0.135 0.032 P1-P2 < 0.128

You deposit $460 in an account earning 6.4% interest compounded quarterly. 1) What value would the investment reach after 22 years? A dollars. Use the Compound Interest formula and your calculator, and round your answer to the nearest whole dollar. How many years would it take the investment to reach $ 1100? Round your answer to the nearest tenth. A years.

From 75°C, 95°C, 185°C, and 350°C, select the best estimate of the Celsius temperature of the oven temperature for cooking a casserole. Choose the temperature that best represents the oven temperature for cooking a casserole. 185°C 350°C 75°C 95°C

To buy a minivan you can pay $15,500 cash or put down $4000 and make 24 monthly payments of $668.42. How much would you save by paying cash (to the nearest hundredth)? How to enter your answer (opens in new window)

Write the negation of the following statement. Pigs can fly or wishes are not wings. Choose the correct answer below. A. Pigs can not fly and wishes are wings. B. If pigs can not fly then wishes are wings. C. Pigs can not fly or wishes are wings. D. Pigs can fly or wishes are wings.

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H₁: p > 0.554, the test statistic is z = 1.34. 0.0901; fail to reject the null hypothesis 0.0901; reject the null hypothesis 0.1802; reject the null hypothesis 0.9099; fail to reject the null hypothesis

If a car travels 340 miles on 16 gallons of gas, how many miles per gallon does it average (to the nearest tenth)? Answer How to enter your answer (opens in new window)

Round the decimal number to the nearest hundredth. 6.66820

Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years. 0.4357 0.4286 0.0643 0.0714

Vrite the following mixed number in decimal notation. 82 9/100

Find the indicated quotient to the nearest hundredth. 78.7 ÷ 6.8

You invested $19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1420, how much was invested at each rate?

SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 446. Assume the population standard deviation is a = (a) Construct a 98% confidence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number. A 98% confidence interval for the mean mathematics SAT score is

Evaluate the function h(x)=x^4-2x²-5 at the given values of the independent variable and simplify. a. h(3) b.h(-1) c. h(-x) d. h(3a)

Your medical research team is investigating the mean cost of a 30-day supply of a certain heart medication. A pharmaceutical company thinks that the mean cost is more than $91. You want to support this claim. How would you write the null and alternative hypotheses?

Use Euler diagrams to determine whether the following argument is valid or invalid. All rocks are hard. No marshmallows are hard. Therefore, no marshmallows are rocks. Chose the correct answer below. Invalid Valid

The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. Find the length of a diagonal. A. 20 ft B. 23 ft C. 25 ft D. 17 ft

Write the indicated quotient in decimal form and round your answer to the nearest thousandth, if necessary. 6.022 ÷ 6/10

Suppose that E and F are two events and that N(E and F) = 450 and N(E)=810. What is P(FIE)?

Use the given information to find the minimum sample size required to estimate an unknown population mean μ. How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 90% confidence that the sample mean is within 4 minutes of the population mean, and the population standard deviation is known to be 9 minutes. 34 28 14 20

Consider the following scenario. For each year t, the population of a certain type of wasps in forest A is represented by A(t) = 92(1.021)^t. In forest B, the population of the same type of wasps is represented by B(t) = 79(1.025)^t. 1) Which forest's population of wasps is growing at a faster rate? 2) Which forest had a greater number of wasps initially. A or B? 3) Assuming the growth models continue to represent the population of wasps in each forest, which forest will have a greater number of wasps in 20 years, A or B? 4) How many wasps?

A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program? A. 16,807 B. 2,520 C. 15,120 D. 126

2. The corresponding sides of two similar rectangles are 6 ft and 10 ft. The area of the smaller rectangle is 78 ft^2. To the nearest whole number, what is the area of the larger rectangle? 867 ft^2 130 ft^2 217 ft^2 1,950 ft^2

Erica wants to buy a new truck for $18,500. She has talked to the loan officer at her credit union and knows that they will loan her $12,000. She must also pay $315 for a license fee and $1250 for taxes. What amount of cash will she need to buy the truck?

Which statement is an example of a scientific theory? A. All living organisms are composed of one or more cells, which came from pre-existing cells. B. The amount that caffeine affects a person's heart rate differs based on the person's age. C. The Earth is the third planet from the Sun and has one moon, which orbits the Earth. D. Hummingbirds do not like the color white because they visit other colored flowers more often.

Select the statement that is equivalent to I saw King Kong or Braveheart. Choose the correct statement below. A. If I saw Braveheart, I did not see King Kong. B. If I saw King Kong, I did not see Braveheart. C. If I did not see King Kong, I saw Braveheart. D. I saw both King Kong and Braveheart.

Solve the given system of equations. x + y +9z = - 40 x + y + 4z = -15 x-7y-6z= 11 Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is (()}. (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

Round the following number to the nearest ten. 1707.16

A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70. 0.0301 0.0278 0.9699 0.1006

Round the decimal number to the nearest tenth. 2.55716

If a jeep travels 313 miles on 24 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?

Write the following number in decimal notation. Ninety and eighty-five ten-thousandths

Lenny's favorite radio station has this schedule: news: 19 min. commercials: 4 min. music: 37 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that the news will be on? 19/60 37/60 19/37 1/15

Solve the equation by making an appropriate substitution. x4-40x² + 144= 0 Make an appropriate substitution and rewrite the equation in quadratic form. Let u = x², then the quadratic equation in u is u²-40u + 144 = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is 0.

Graph the solution set of the following system of inequalities. y≥x²-9 x-y≥-3

In a certain country people own a total of about 357 million fish, cats, and dogs as pets. The number of fish owned is 13 million more than the total number of cats and dogs owned, and 12 million more cats are owned than dogs. How many each type of pet do people in this country own?

Write the first five terms of the geometric sequence with the given first term, a₁, and common ratio, r. a₁ = 243, r=1/3 The first term is

Change the decimal to fraction form (or mixed number form) and reduce, if possible. 43.175

Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 2388, x = 1672 0.0206 0.0156 0.0184 0.0248

Select the statement that is not equivalent to the following statement. It is not true that Snoopy did not dance a jig and Charles Schultz wrote a sonata. If Snoopy did not dance a jig, then Charles Schultz did not write a sonata. Snoopy danced a jig and Charles Schultz did not write a sonata. Snoopy danced a jig or Charles Schultz did not write a sonata. If Charles Schultz wrote a sonata, then Snoopy danced a jig.

Form the negation of the statement. It is thundering and lightning. Choose the correct answer below. A. It is not thundering and lightning. B. It is sunny. C. It is never thundering and lightning. D. Sometimes it is not thundering and lightning.

A manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns. If a branch store manager orders two pairs of each possible type, how many pairs of jeans will he expect to have delivered? A. 576 B. 630 C. 738 D. 756

The half-life of a certain tranquilizer in the bloodstream is 34 hours. How long will it take for the drug to decay to 87% of the original dosage? Use the exponential decay model, A=A0ekt, to solve. hours (Round to one decimal place as needed.)

Let p and q represent the following simple statements. p: You are human. q: You have tusks. Write the following compound statement in symbolic form. You have tusks if you are not human. The compound statement written in symbolic form is